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2 years ago

Solve the inequality7y + 2 < 5y + 12

Mathematics

1 answer:

prisoha [69]2 years ago

7 0

Answer:

y < 5

Step-by-step explanation:

7y + 2 < 5y + 12

-2 -2

7y < 5y + 10

-5y -5y

2y < 10

/2 /2

y < 5

Hope this helps :)

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Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

GIVEN :-

There are 2 right-angled triangles.

In the triangle on the right side ,

Hypotenuse = 26m
Base = 10m

In the triangle on the left side ,

Base = 18m

TO FIND :-

Length of the common perpendicular to both triangles.
Length of the hypotenuse of the triangle on the left side.

FACTS TO KNOW BEFORE SOLVING :-

$Hypotenuse = \sqrt{Base^2 + Perpendicular^2}$ .
$Perpendicular = \sqrt{Hypotenuse^2 - Base^2}$

SOLUTION :-

In the triangle on the right side ,

$Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m$

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

$Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m$

∴ x = 30m

3 0

3 years ago

Patrica scored 80% on a math test. She missed 4 problems. How many problems were on the test?

svet-max [94.6K]

Answer:

Step-by-step explanation:

Patrica got 80% correct. She missed 4 problems, so that must have been the remaining 20% of the test.

Therefore:

4 = 20% x

Percent means out of 100, so:

4 = (20/100) x

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x = 20

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3 years ago

Find the 78th term of the arithmetic sequence 14,5, -4, ...

iren2701 [21]

Answer:

-679

Step-by-step explanation:

14, 5, -4, ...

a = 14

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nth term = a + (n - 1) d

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= 14 + 77(-9)

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2 years ago

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2 years ago

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A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1

Setler79 [48]

Answer: Its A

Step-by-step explanation:

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2 years ago

Solve the inequality7y + 2 < 5y + 12​

Solve the inequality7y + 2 < 5y + 12